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Finding the Fourth Proportional to 2,287.31, 3,156.49 and 1,239.37

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Solution

The fourth proportional to 2,287.31, 3,156.49 and 1,239.37 is: 1,710.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,287.31 : 3,156.49 = 1,239.37 : x
  2. Step 2: Convert to fraction form
    2,287.31/3,156.49 = 1,239.37/x
  3. Step 3: Cross multiply
    2,287.31x = 3,156.49 × 1,239.37
  4. Step 4: Simplify right side
    2,287.31x = 3,912,044.92
  5. Step 5: Solve for x
    x = 3,912,044.92/2,287.31
  6. Step 6: Final answer
    x = 1,710.33

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.